Question

MATH HELP PLEASE !!! JUST HELP !!!

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Construct diagonal A C with a straightedge. _____________. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.

Which sentence accurately completes the proof?

Angles BAC and DCA are congruent by the Same-Side Interior Angles Theorem.

Diagonal BD is congruent to itself by the Reflexive Property of Equality

Diagonal AC is congruent to itself by the Reflexive Property of Equality.

Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).

Answer 1

Correct answer: "Diagonal AC is congruent to itself by the Reflexive Property of Equality."

Explanation:

Guys this answer is RIGHT because I got a 100 on my test!

Answer 2

Correct answer: "Diagonal AC is congruent to itself by the Reflexive Property of Equality."

Insert the sentence above before the sentence "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA)".

The congruence of two angles is already proved, so you need to prove that the corresponding pair of sides is congruent. Then you have 3 pairs of congruent elements for the Angle-Side-Angle (ASA) Theorem.